Question

An study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. The study seeks to determine if the proportions of men and women who dislike anchovies are different. A sample of 41 men was taken and the hatp estimate for the true proportion of men who dislike anchovies was determined to be 0.67. A sample of 56 women was also taken and the hatp estimate for the true proportion of women who dislike anchovies was determined to be 0.84. Are the requirements satisfied to perform this hypothesis test? Why?

a) Yes, because the sample sizes of both groups are greater than 5.
b) Yes, because in both cases n hatp>10
c) Yes, because we know that the populations are normally distributed.
d) No, because the n*(1-hatp) is less than 10.

Answer 1

a) Yes, because the sample sizes of both groups are greater than 5.

Explanation:

Sample size of men is 41 and sample size of women is 56. Thus, we can conclude that;

Yes the requirements are satisfied to perform the hypothesis test because the sample sizes of both groups are greater than 5.

Option A is correct.